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Finding the Fourth Proportional to 5,852.55, 8,075.03 and 3,462.41

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Solution

The fourth proportional to 5,852.55, 8,075.03 and 3,462.41 is: 4,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.55 : 8,075.03 = 3,462.41 : x
  2. Step 2: Convert to fraction form
    5,852.55/8,075.03 = 3,462.41/x
  3. Step 3: Cross multiply
    5,852.55x = 8,075.03 × 3,462.41
  4. Step 4: Simplify right side
    5,852.55x = 27,959,067.50
  5. Step 5: Solve for x
    x = 27,959,067.50/5,852.55
  6. Step 6: Final answer
    x = 4,777.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.